Tom Brady threw two touchdown passes, piling up 236 yards on 23-of-31 passing for New England (1-0).
Stephen Gostkowski booted a pair of fourth-quarter field goals for the Patriots.
The Titans (0-1) fell despite a good performance from Jake Locker in his first NFL start.
He went 23-of-32 through the air for 229 yards with one touchdown and one interception before leaving the game in the fourth quarter with an apparent shoulder injury.
Swim Week Miami Beach 2014 [PHOTOS]